Dihedral representations and statistical geometric optics. I. Spherocylindrical lenses

Dihedral representations and statistical geometric optics. I. Spherocylindrical lenses

The linear 2-dim irreducible representations of the dihedral groups (Dn) are interpreted as classical linear operators of geometrical optics. It is shown that the 2-dim irreducible representation of D4 is simply the refractive group described by Campbell [Optom. Vision Sci. 74, 381 (1997)]. The dihe...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2005-11, Vol.22 (11), p.2483-2489
Hauptverfasser: LAKSHMINARAYANAN, Vasudevan, VIANA, Marlos
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Sprache:eng
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Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Lenses, prisms and mirrors
Optical elements, devices, and systems
Optics
Physics
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container_issue 11
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container_title Journal of the Optical Society of America. A, Optics, image science, and vision
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creator LAKSHMINARAYANAN, Vasudevan
VIANA, Marlos
description The linear 2-dim irreducible representations of the dihedral groups (Dn) are interpreted as classical linear operators of geometrical optics. It is shown that the 2-dim irreducible representation of D4 is simply the refractive group described by Campbell [Optom. Vision Sci. 74, 381 (1997)]. The dihedral Fourier-inverse mechanism is introduced and shown to provide a systematic connection between the standard refractive data and their vector space representation, as proposed by Thibos et al. [Vision Sci. Appl. 2, 14 (1994)].
doi_str_mv 10.1364/JOSAA.22.002483
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subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Lenses, prisms and mirrors
Optical elements, devices, and systems
Optics
Physics
title Dihedral representations and statistical geometric optics. I. Spherocylindrical lenses
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